GLOBAL PROPERTIES OF ZEROS FOR SOBOLEV-TYPE ORTHOGONAL POLYNOMIALS

[摘要] In this paper we analyze some properties concerning the zeros of orthogonal polynomials Q(n)(x), associated to the inner product [f,g] = integral(I)f(x)g(x)dmu(x)+Mf(c)g(c)+Nf'(c)g'(c), where I is a (not necessarily bounded) real interval, mu is a positive measure on I, c is-an-element-of R and M, N greater-than-or-equal-to 0. In particular, some properties concerning the localization and separation for the roots of Q(n)(x) are obtained.

[发布日期] 1993-12-31

[效力级别]  Proceedings Paper

[关键词] ORTHOGONAL POLYNOMIALS;SOBOLEV SPACES;ZEROS